Highest Common Factor of 267, 755 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 267, 755 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 267, 755 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 267, 755 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 267, 755 is 1.
HCF(267, 755) = 1
HCF of 267, 755 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 267, 755 is 1.
Highest Common Factor of 267,755 is 1
Step 1: Since 755 > 267, we apply the division lemma to 755 and 267, to get
755 = 267 x 2 + 221
Step 2: Since the reminder 267 ≠ 0, we apply division lemma to 221 and 267, to get
267 = 221 x 1 + 46
Step 3: We consider the new divisor 221 and the new remainder 46, and apply the division lemma to get
221 = 46 x 4 + 37
We consider the new divisor 46 and the new remainder 37,and apply the division lemma to get
46 = 37 x 1 + 9
We consider the new divisor 37 and the new remainder 9,and apply the division lemma to get
37 = 9 x 4 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 267 and 755 is 1
Notice that 1 = HCF(9,1) = HCF(37,9) = HCF(46,37) = HCF(221,46) = HCF(267,221) = HCF(755,267) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 267, 755 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 267, 755?
Answer: HCF of 267, 755 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 267, 755 using Euclid's Algorithm?
Answer: For arbitrary numbers 267, 755 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
